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Finding the Fourth Proportional to 6,460.98, 8,917.20 and 3,943.50

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Solution

The fourth proportional to 6,460.98, 8,917.20 and 3,943.50 is: 5,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.98 : 8,917.20 = 3,943.50 : x
  2. Step 2: Convert to fraction form
    6,460.98/8,917.20 = 3,943.50/x
  3. Step 3: Cross multiply
    6,460.98x = 8,917.20 × 3,943.50
  4. Step 4: Simplify right side
    6,460.98x = 35,164,978.20
  5. Step 5: Solve for x
    x = 35,164,978.20/6,460.98
  6. Step 6: Final answer
    x = 5,442.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.